graph the following equation: (x-9) squared +(y+7)squared=36?

Answer 1

You need to recognize that this is the equation of a circle.
The standard form for a circle is (x - h)^2 + (y - k)^2 = r^2 where (h,k) is the center and r is the radius. In your case h = 9 and k = -7 and r = 6. So to graph, find the center at (9, -7) and make a radius of 6. It is best to use a compass to make a real nice graph.

Answer 2

First, take the square root of the equation. This will leave:

(x-9) + (y+7) =6

Combine like terms:

x + y = 8

The other equation we have is:

x-9 + y + 7 = -6

In this case you get:

x + y = -8


Now, just graph those two equations. For instance, in the first equation, when x is zero, y is 8. When y is zero, x is 8.

In the second equation, it's the opposite.

Good luck!